Question

${lim}_{x\to 0}\frac{\log (2+x)+\log 0.5}{x}$

Answer 1

${lim}_{x\to 0}\frac{\log (2+x)+\log 0.5}{x}$ (L-Hopital rule)

$⟹\frac{1}{2+x}=\frac{1}{2}$